57024000 has 400 divisors, whose sum is σ = 231721776. Its totient is φ = 13824000.

The previous prime is 57023957. The next prime is 57024041. The reversal of 57024000 is 42075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183995 + ... + 5184005.

Almost surely, 2^57024000 is an apocalyptic number.

57024000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115860888).

57024000 is an abundant number, since it is smaller than the sum of its proper divisors (174697776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57024000 is an equidigital number, since it uses as much as digits as its factorization.

57024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57024000 is about 7551.4237068251. The cubic root of 57024000 is about 384.9041195995.

Adding to 57024000 its reverse (42075), we get a palindrome (57066075).

The spelling of 57024000 in words is "fifty-seven million, twenty-four thousand".